Producto de binomios conjugados

$$(a - b)(a + b)$$

(Binomios conjugados)

Ejemplos de expresiones

$$(x - 2y)(x + 2y)$$$$\left(-\frac{1}{3}x + m\right)\left(-\frac{1}{3}x - m\right)$$

$$(a - b)(a + b) = a^2 - b^2$$

$$(7x - 2y)(7x + 2y) = (7x)^2 - (2y)^2 = 7^2x^2 - 2^2y^2 = 49x^2 - 4y^2$$

graph LR
    A["(7x - 2y)(7x + 2y)"] -->|Multiplicar| B["49x^2 - 4y^2"]
    B -->|Factorizar| A

Realizar las siguientes multiplicaciones:

$(2 - 5x)(2 + 5x)$
$(1 - y^6)(1 + y^6)$
$(m^3 n^2 + x^3 y^4)(m^3 n^2 - x^3 y^4)$
$\left(\frac{3}{5} - \frac{x^4}{2}\right)\left(\frac{x^4}{2} + \frac{3}{5}\right)$
$(x^n - y^m)(x^n + y^m)$

$$(x + a)(x + b) = x^2 + (a + b)x + ab$$

$$(x + 5)(x + 3) = x^2 + 8x + 15$$

$$(x + 9)(x - 6)$$$$(x + 9)(x + (-6)) = x^2 + 3x + (-54) = x^2 + 3x - 54$$

$$(8y - 11)(8y - 2) = (8y)^2 + (-11 - 2)(8y) + (-11)(-2) \\ = 64y^2 + (-13)(8y) + 22 \\ = 64y^2 - 104y + 22$$